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viktelen [127]
2 years ago
9

Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.

Mathematics
1 answer:
nexus9112 [7]2 years ago
7 0

Answer: 0.84134

Step-by-step explanation:

We need to find the z-score for the given information first since this will help us find the probability. The formula for this is

Z score = \frac{x - \mu}{\sigma}

We have

x = 66 inches (the raw score)

\mu = 70 inches (the population mean)

\sigma = 4 inches (the standard deviation)

This gives

Z score = \frac{x - \mu}{\sigma} = \frac{66-70}{4} = -1

If you use a calculator, or a Z-score table then P(x > Z) is just P(Z > -1) which gives a probability of 0.84134.

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myrzilka [38]

Answer:

3/10

Step-by-step explanation:

If both halves were equal.

½ × ½ = ¼

Closest option is 3/10

4 0
2 years ago
The length of a rectangle is 3 inches more than its width. the area of the rectangle is 40 square inches. what is the length, in
IceJOKER [234]
Since width is the smaller value, set width=x. That wold mean that length=x+3. Since Area=width*length, 40=x(3+x). Distribute the x to give you 40=3x+x^2. Set the equation equal to 0 giving you x^2+3x-40=0. Factor the equation to give you (x+8)(x-5)=0. Set each factor equal to 0. x+8=0 gives you x=-8 & x=-5 gives you x=5. Since we're working with lengths of objects, it can't be negative. Therefore, your width is 5. To find length, substitute width into the original expression (x+3). Therefore, length is 5+3=8.
4 0
3 years ago
PLEASE HELP!!!!! explain too please
ale4655 [162]

Answer:

8. Not similar

9. Similar

Step-by-step explanation:

8. You could try to us the AA theorem which means that two angles in the triangle are equal, which would mean that the triangles are similar. But 46+58=104 and 180-104=76 so there are not two similar angled between the triangles.

9. You can use the same theorem for this problem (AA). So 106+31=137 and then 180-137=43 which is one of the angles in the second triangle. Since at least two of the angles are equal, you can use AA theorem yo prove they are similar.

Hope this helps!

4 0
2 years ago
Read 2 more answers
A lighthouse is 90 feet above sea level. The angle of depression from the top of the lighthouse to the center of the rock is 35
Marysya12 [62]
Notice the picture below

so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles

now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"

4 0
2 years ago
In the problem 10 take away 4 equals 6 what is the correct term for the number 4
crimeas [40]
10 would be called the Minuend. 
4 would be called the Subtrahend. 
4 would be the Difference. 
5 0
2 years ago
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